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Finding the Third Proportional to 103,130 and 164,101

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Solution

The third proportional to 103,130 and 164,101 is: 261,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,130 : 164,101 = 164,101 : x
  2. Step 2: Convert to fraction form
    103,130/164,101 = 164,101/x
  3. Step 3: Cross multiply
    103,130x = 164,101 × 164,101
  4. Step 4: Simplify right side
    103,130x = 26,929,138,201
  5. Step 5: Solve for x
    x = 26,929,138,201/103,130
  6. Step 6: Final answer
    x = 261,118.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.